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SOLVED:On ℝ^2, define the operations of addition and scalar multiplication by a real number as follows: (x1, y1) ⊕(x2, y2) =(x1-x2, y1-y2) k ⊙(x1, y1) =(-k x1,-k y1) Which of the axioms for a vector space are satisfied by ℝ^2 with these algebraic operations? Is this a vector space structure?
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